Calculation of the Fomenko-Zieschang invariants in the Kovalevskaya-Yehia integrable case

DOI10.1070/SM2007v198n08ABEH003876zbMath1133.37023OpenAlexW2058137520MaRDI QIDQ5440023

Pavel V. Morozov

Publication date: 30 January 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2007v198n08abeh003876

zbMATH Keywords

integrable systemsHamiltonian systemsFomenko-Zieschang invariantsKovalevskaya-Yehia integrable system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)

Related Items (5)

Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space ⋮ Topological atlas of the Kovalevskaya-Yehia gyrostat ⋮ Parabolicity of degenerate singularities in axisymmetric Euler systems with a gyrostat ⋮ Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(4) ⋮ Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms

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